On nuclei of sup-$Sigma$-algebras

Authors

  • X. Zhang School of Mathematical Sciences‎, ‎South China Normal‎ ‎University‎, ‎510631 Guangzhou‎, ‎China.
  • Y. Zhou School of Mathematical Sciences‎, ‎South China Normal‎ ‎University‎, ‎510631 Guangzhou‎, ‎China.
Abstract:

‎In this paper‎, ‎algebraic investigations on sup-$Sigma$-algebras are presented‎. ‎A representation theorem for‎ ‎sup-$Sigma$-algebras in terms of nuclei and quotients is obtained‎. ‎Consequently‎, ‎the relationship between‎ ‎the congruence lattice of a sup-$Sigma$-algebra and the lattice of its nuclei is fully developed.

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Journal title

volume 43  issue 6

pages  1709- 1721

publication date 2017-11-30

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